What is the Greatest Common Factor of 78990 and 78998?

Greatest common factor (GCF) of 78990 and 78998 is 2.

GCF(78990,78998) = 2

We will now calculate the prime factors of 78990 and 78998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78990 and 78998.

How to find the GCF of 78990 and 78998?

We will first find the prime factorization of 78990 and 78998. After we will calculate the factors of 78990 and 78998 and find the biggest common factor number .

Step-1: Prime Factorization of 78990

Prime factors of 78990 are 2, 3, 5, 2633. Prime factorization of 78990 in exponential form is:

78990 = 2¹ × 3¹ × 5¹ × 2633¹

Step-2: Prime Factorization of 78998

Prime factors of 78998 are 2, 39499. Prime factorization of 78998 in exponential form is:

78998 = 2¹ × 39499¹

Step-3: Factors of 78990

List of positive integer factors of 78990 that divides 78990 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2633, 5266, 7899, 13165, 15798, 26330, 39495

Step-4: Factors of 78998

List of positive integer factors of 78998 that divides 78990 without a remainder.

1, 2, 39499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78990 and 78998. The biggest common factor number is the GCF number.
So the greatest common factor 78990 and 78998 is 2.

Also check out the Least Common Multiple of 78990 and 78998